Search a number
-
+
254366113152 = 2732371405641
BaseRepresentation
bin1110110011100101100…
…1101101110110000000
3220022120012201101101210
43230321121231312000
513131420211110102
6312504300330120
724243300200424
oct3547131556600
9808505641353
10254366113152
1198970048728
124136a843940
131aca97b89b8
14c450628b84
15693b2ac36c
hex3b3966dd80

254366113152 has 128 divisors (see below), whose sum is σ = 714968363520. Its totient is φ = 79959756800.

The previous prime is 254366113147. The next prime is 254366113189. The reversal of 254366113152 is 251311663452.

It is a happy number.

254366113152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 254366113152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424252 + ... + 829892.

It is an arithmetic number, because the mean of its divisors is an integer number (5585690340).

Almost surely, 2254366113152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254366113152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357484181760).

254366113152 is an abundant number, since it is smaller than the sum of its proper divisors (460602250368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

254366113152 is a wasteful number, since it uses less digits than its factorization.

254366113152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405752 (or 405740 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The spelling of 254366113152 in words is "two hundred fifty-four billion, three hundred sixty-six million, one hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 71 92 96 128 138 142 184 192 213 276 284 368 384 426 552 568 736 852 1104 1136 1472 1633 1704 2208 2272 2944 3266 3408 4416 4544 4899 6532 6816 8832 9088 9798 13064 13632 19596 26128 27264 39192 52256 78384 104512 156768 209024 313536 405641 627072 811282 1216923 1622564 2433846 3245128 4867692 6490256 9329743 9735384 12980512 18659486 19470768 25961024 27989229 28800511 37318972 38941536 51922048 55978458 57601022 74637944 77883072 86401533 111956916 115202044 149275888 155766144 172803066 223913832 230404088 298551776 345606132 447827664 460808176 597103552 662411753 691212264 895655328 921616352 1194207104 1324823506 1382424528 1791310656 1843232704 1987235259 2649647012 2764849056 3582621312 3686465408 3974470518 5299294024 5529698112 7948941036 10598588048 11059396224 15897882072 21197176096 31795764144 42394352192 63591528288 84788704384 127183056576 254366113152